Linear Equations and Inequalities; Your complete guide

From solving, graphing to writing the equation and inequality you will learn all step by step
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  • Lectures 84
  • Length 7 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 3/2016 English

Course Description

Learning about linear equations and inequalities can be tough.  Once you feel you mastered one type of problem you get stumped on the next.  This course is structured to not leave you behind in the dust.  I start off each section with basic definitions and processes you will need to know moving through the course.  I then present two types of videos to you for each skill.  First is the overview video where I explain the concept as a whole like a typical lecture in a classroom.  I then work through multiple examples showing you step by step how to complete different types of problems.  We both know watching someone do math is not the best way to learn.  You have to practice! Each section you are provided with multiple worksheets to practice your skills as well as the answer to check your answers.  Revert back to videos if you get stuck and forget how to solve the problems.  Once you feel you have a good grasp of your understanding it is time to take your quiz. There are multiple quizzes provided for each section. Take the quizzes as many times as you need to earn 100%.  There is no pressure you are hear to learn. By taking this course you will not only gain a better understanding of linear equations and inequalities but you will gain confidence to solve more problems on your own. That is why I created this course. I want students to no longer fear learning math or walking into their math class because they just don't understand.  Everyone can learn math.  Some it just takes a little longer, some just need a little boast and some need a course like I designed to guide them through the material. Heck once you complete this course, show your teacher! You deserve and A.  I am here for you and by joining this course you are now one of my students just as important to me as the 140 students I teach in the classroom during the school year. So please keep in touch, let me know how I am doing and if there is anything extra I can provide to assist you with your learning of linear equations and inequalities.

What are the requirements?

  • Pen, Paper and a willingness to learn

What am I going to get from this course?

  • Solve Linear Equations
  • Solve Literal Equations
  • Solve Linear Inequalities
  • Solve and Graph One-Variable Inequalities
  • Write the Equation of a Line
  • Understand Direct Variation
  • Graph Linear Equations
  • Graph Linear Inequalities
  • BONUS - Solve and Graph Absolute Value Equations and Inequalities

What is the target audience?

  • Students currently learning Linear Equations and Inequalities
  • Students currently enrolled in or planning to take Pre-Algebra, Algebra 1, Algebra 2 or College Algebra

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Introduction
Introduction
Preview
02:30
Section 2: The basic stuff you need to know to solve linear equations
What is an equation?
01:57
What is a solution to an equation?
03:09
What does it mean to isolate a variable?
01:42
What are inverse operations?
02:57
What are the properties of equality?
02:39
Section 3: Solving Linear Equations
Overview how to solve one-step equations
03:23
Examples for solving one-step equations
11:20
Quiz - One-Step Equations
Article
Overview how to solve two-step equations
04:29
Examples for solving two-step equations
11:01
Quiz - Solving Two-Step Equations
Article
Overview how to solve multi-step equations variable same side
01:46
Examples for multi-step equations with variables on the same side
09:38
Quiz - Multi-step equations same side
Article
Overview how to solve multi-step equation variable on both sides
02:39
Examples for solving multi-step equations with variables on both sides
08:49
Quiz - Multi-step Equations Opposite Sides
Article
Section 4: Literal Equations
Examples Solving Linear Literal Equations
08:10
Examples Solving Literal Equation as formulas
09:42
Examples Solving Literal Equations with Multiple Steps
11:34
Section 5: Solving and Graphing One-Variable Inequalities
Examples for graphing one-variable inequalities
08:14
Examples for Solving and Graphing One-Varialbe Inequalities
08:47
Examples for Solving and Graphing Multi-step Inequalities
12:03
Quiz - Solving and Graphing One-Variable Inequalities
Article
Examples for Solving and Graphing Compound And Inequalities
12:18
Examples for Solving and Graphing Compound OR Inequalities
08:15
Quiz - Solving and Graphing Compound Inequalities
Article
Examples for Writing the Compound Inequality from a Graph
05:07
Section 6: The Basics for writing the equation of a line
What are perpendicular lines?
04:11
What is a linear equation?
04:39
What is slope?
04:28
What is the y-intercept
02:58
What are parallel lines?
03:05
What is the slope formula?
04:30
Section 7: Writing the Equation of a line
Overview determining the slope between two points
01:43
Examples for determining the slope between two points
07:19
Overview for determining the slope between two points
01:43
Examples Writing the equation of a line given the slope and y-intercept
04:18
Examples Writing the equation given the slope through a point
07:54
Quiz - Write Equation Given Point and Slope
Article
Examples for Writing the equation of a line between two points
12:38
Quiz - Write Equation Given Two Points
Article
Examples for Writing the equation of a line parallel to another line
07:34
Quiz - Write Equation Parallel to Another Line Through Point
Article
Examples for Writing the equation of a line perpendicular to another line
08:06
Quiz - Write Equation Perpendicular Through a Point
Article
Section 8: Direct Variation
Examples for writing direct variation of a line through a point
05:20
Examples for writing direct variation when y varies directly with x
04:14
Examples for riting direct variation when y varies directly with x and fractions
03:40
Examples for solving for the missing variable when y varies directly with
06:58
Examples for determining if an equation is an example of direct variation or not
04:17
Section 9: The Basics of Graphing Linear Equations
04:39

Learn what a linear equation is

02:44

I will explain what the parent function of a linear equation is

04:20

I will show you how to convert between slope intercept for and standard form

02:58

I will explain what the x and y intercepts are of a linear equation

03:59

I will explain what is slope intercept form and how we use it to graph

Section 10: Graphing Linear Equations in slope-intercept and Standard form
Overview how to graph an equation in slope intercept form
06:44
09:45

In this video I will show you how to graph a linear equation in slope-intercept form

Article

In this quiz you will test your skills for graphing linear equations in slope intercept form

Overview how to graph an equation in standard form
04:34
11:00

In this video I will show you how to graph a linear equation in standard form

Article

In this quiz you will test your skills for graphing a linear equation in standard form

Section 11: Basics for Graphing Linear Inequalities
02:10

I will show you how to determine if the boundry line is shaded or dashed

03:54

I will show you how to shade an inequality

Section 12: Graphing Linear Inequalities
10:36

I will show you how to graph an inequality in slope intercept form

Examples for graphing linear inequalities in standard form
09:21
Article

In this quiz you will be able to test your skills for graphing linear inequalities

Section 13: Conclusion
Article

Test your skills of this course with the final test

Section 14: Bonus - Basics of Absolute Value
What is the absolute value symbol mean?
02:32
What is the graph of an absolute value function?
03:38
Section 15: Bonus - Absolute Value Equations
Overview for solving absolute value equations
02:16
Examples for solving one-step absolute value equations
06:11
Examples for solving two-step absolute value equations
06:33
Examples for solving Absolute value equations with extraneous solutions
16:03
Examples for solving and graphing absolute value inequalities AND
09:35
Examples for solving and graphing absolute value inequalities OR
09:23
Overview for how to graph absolute value equations
02:55
Examples for Graphing Absolute Value Equations with translations
07:18
Examples for graphing absolute value equations with multiple transformations
06:35
Examples for graphing absolute value equations with dialations
08:04
Overview for how to graph absolute value inequalities
03:54
Examples for graphing absolute value inequalities
09:05
Examples for graphing absolute value inequalities with dialations
08:00

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Instructor Biography

Brian McLogan, Current Active High School Math Teacher

I am a high school that is on a mission to improve math education. I was that student that sat in the back of class frustrated with the boredom of class and the lack of understanding. I made the decision to become a math teacher to make a difference in others lives. I knew that with the struggles I had I could relate well to students that struggled with math. With a weak math background I set out to get a degree in mathematics. In was a difficult journey and I worked very hard not just to pass my math classes but to have an understanding of what I was doing. I learned a lot about myself, mathematics and what it takes to be successful in class through my time at college. I want to pass along my experience to you the student so that may have your own success with mathematics.

Instructor Biography

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